\name{poly.from.mult}
\alias{poly.from.mult}
%- Also NEED an '\alias' for EACH other topic documented here.
\title{Polynomial from multiplicity}
\description{
%%  ~~ A concise (1-5 lines) description of what the function does. ~~
}
\usage{
poly.from.mult(m, s)
}
%- maybe also 'usage' for other objects documented here.
\arguments{
  \item{m}{
%%     ~~Describe \code{m} here~~
}
  \item{s}{
%%     ~~Describe \code{s} here~~
}
}
\details{
%%  ~~ If necessary, more details than the description above ~~
}
\value{
%%  ~Describe the value returned
%%  If it is a LIST, use
%%  \item{comp1 }{Description of 'comp1'}
%%  \item{comp2 }{Description of 'comp2'}
%% ...
}
\references{
%% ~put references to the literature/web site here ~
}
\author{
%%  ~~who you are~~
}
\note{
%%  ~~further notes~~
}

%% ~Make other sections like Warning with \section{Warning }{....} ~

\seealso{
%% ~~objects to See Also as \code{\link{help}}, ~~~
}
\examples{
##---- Should be DIRECTLY executable !! ----
##-- ==>  Define data, use random,
##--	or do  help(data=index)  for the standard data sets.

## The function is currently defined as
function (m, s) 
{
    rv = exp(2 * (0+1i) * pi * (0:(s - 1))/s)
    aux = polynomial(coef = c(1))
    z = polynomial(coef = c(0, 1))
    for (i in 1:(s/2 + 1)) {
        if (abs(Im(rv[i])) > 1e-05) {
            aux = aux * ((1 - 2 * Re(rv[i]) * z + z^2)^m[i])
        }
        else {
            aux = aux * ((1 - rv[i] * z)^m[i])
        }
    }
    c = coef(aux)
    c[which(abs(c) < 1e-07)] = 0
    return(polynomial(coef = c))
  }
}
% Add one or more standard keywords, see file 'KEYWORDS' in the
% R documentation directory.
\keyword{ ~kwd1 }
\keyword{ ~kwd2 }% __ONLY ONE__ keyword per line
